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13310133233100 = 2235211333333667
BaseRepresentation
bin1100000110110000000111…
…0000110110010111001100
31202010102210001220010121020
43001230001300312113030
53221033123101424400
644150331340034140
72542424336523504
oct301540160662714
952112701803536
1013310133233100
114271883241000
1215ab714832950
137571a8c82732
143402dcc8ca04
151813617702a0
hexc1b01c365cc

13310133233100 has 144 divisors (see below), whose sum is σ = 42358825278336. Its totient is φ = 3226698868800.

The previous prime is 13310133233077. The next prime is 13310133233179. The reversal of 13310133233100 is 133233101331.

It is a super-2 number, since 2×133101332331002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16267534 + ... + 17066133.

Almost surely, 213310133233100 is an apocalyptic number.

13310133233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310133233100 is an abundant number, since it is smaller than the sum of its proper divisors (29048692045236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13310133233100 is a wasteful number, since it uses less digits than its factorization.

13310133233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333717 (or 33333688 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13310133233100 its reverse (133233101331), we get a palindrome (13443366334431).

The spelling of 13310133233100 in words is "thirteen trillion, three hundred ten billion, one hundred thirty-three million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1331 1452 1650 1815 2420 2662 3025 3300 3630 3993 5324 6050 6655 7260 7986 9075 12100 13310 15972 18150 19965 26620 33275 36300 39930 66550 79860 99825 133100 199650 399300 33333667 66667334 100001001 133334668 166668335 200002002 333336670 366670337 400004004 500005005 666673340 733340674 833341675 1000010010 1100011011 1466681348 1666683350 1833351685 2000020020 2200022022 2500025025 3333366700 3666703370 4033373707 4400044044 5000050050 5500055055 7333406740 8066747414 9166758425 10000100100 11000110110 12100121121 16133494828 18333516850 20166868535 22000220220 24200242242 27500275275 36667033700 40333737070 44367110777 48400484484 55000550550 60500605605 80667474140 88734221554 100834342675 110001101100 121001211210 133101332331 177468443108 201668685350 221835553885 242002422420 266202664662 302503028025 403337370700 443671107770 532405329324 605006056050 665506661655 887342215540 1109177769425 1210012112100 1331013323310 2218355538850 2662026646620 3327533308275 4436711077700 6655066616550 13310133233100